Whakaoti i te 2x(3x-4)=6(x^2-4x-3)

$$2 x ( 3 x - 4 ) = 6 ( x ^ { 2 } - 4 x - 3 )$$

Whakaoti mō x

$$x = -\frac{9}{8} = -1\frac{1}{8} = -1.125$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2x ki te 3x-4.

$$6x^{2}-8x=6\left(x^{2}-4x-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te x^{2}-4x-3.

$$6x^{2}-8x=6x^{2}-24x-18$$

Tangohia te 6x^{2} mai i ngā taha e rua.

$$6x^{2}-8x-6x^{2}=-24x-18$$

Pahekotia te 6x^{2} me -6x^{2}, ka 0.

$$-8x=-24x-18$$

Me tāpiri te 24x ki ngā taha e rua.

$$-8x+24x=-18$$

Pahekotia te -8x me 24x, ka 16x.

$$16x=-18$$

Whakawehea ngā taha e rua ki te 16.

$$x=\frac{-18}{16}$$

Whakahekea te hautanga \frac{-18}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{9}{8}$$